Details

sample103.0ms

Algorithm: halfpoints

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	7

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.2b	(- (exp x) (exp (- x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
5×	`pow1`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `fma-def` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 85

Calls

3 calls:

5.0ms	(+ (exp x) (exp (- x)))
10.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
74.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms	(- (exp x) (exp (- x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	408	866
1	1321	682
2	5002	678

prune268.0ms

Filtered

94 candidates to 69 candidates (73.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.2b	(- (exp x) (exp (- x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
9×	`add-exp-log` `prod-diff` `add-cbrt-cube`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `associate-r`
2×	`rem-sqrt-square` `pow1/2` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
10.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	388	864
1	1229	701
2	5002	697

prune363.0ms

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt (exp x)) (exp (log (sqrt (exp x)))) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.2b	(- (exp x) (exp (- x)))
38.2b	(log (sqrt (exp x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
24×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
10×	`add-exp-log`
9×	`prod-diff` `add-cbrt-cube`
8×	`pow1`
6×	`log-prod` `log-pow` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`exp-prod` `fma-neg` `associate-r` `sqrt-prod`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `pow1/2` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `fma-udef` `div-inv`

Counts

4 → 100

Calls

4 calls:

1.0ms	(fma (sqrt (exp x)) (exp (log (sqrt (exp x)))) (exp (- x)))
10.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))
3.0ms	(log (sqrt (exp x)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma (sqrt (exp x)) (exp (log (sqrt (exp x)))) (exp (- x)))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
34.0ms	(- (exp x) (exp (- x)))
143.0ms	(log (sqrt (exp x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	428	1001
1	1301	785
2	5001	773

prune381.0ms

Filtered

112 candidates to 79 candidates (70.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Merged error: 0b

Counts

114 → 2

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

end0.0ms

sample2.4s

Algorithm: halfpoints